New York inched toward socialist Mayor Zohran Mamdani’s lofty promise of universal child care Thursday as Gov. Kathy Hochul rolled out a multi-billion-dollar plan to vastly expand kids programs. The proposed “2-Care” program for all 2-year-olds in the Big Apple, along with a buildup of existing pre-K and early childcare in the rest of New York, will ultimately provide care for 100, 000 more children across the state, Hochul said. Mamdani, standing alongside the governor for a back-slapping announcement in the Flatbush YMCA, crowed that the proposals will help families struggling with the cost of childcare in New York City.